SOLUTION: Find the product: (3x-1)(-x^2+4x+2)

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Question 206672: Find the product:
(3x-1)(-x^2+4x+2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%283x-1%29%28-x%5E2%2B4x%2B2%29 Start with the given expression.


3x%28-x%5E2%2B4x%2B2%29-1%28-x%5E2%2B4x%2B2%29 Expand.


Distribute.


-3%2Ax%5E3%2B12%2Ax%5E2%2B6%2Ax%2Bx%5E2-4%2Ax-2 Multiply.


-3%2Ax%5E3%2B13%2Ax%5E2%2B2%2Ax-2 Now combine like terms.


So %283x-1%29%28-x%5E2%2B4x%2B2%29 expands to -3%2Ax%5E3%2B13%2Ax%5E2%2B2%2Ax-2.


In other words, %283x-1%29%28-x%5E2%2B4x%2B2%29=-3%2Ax%5E3%2B13%2Ax%5E2%2B2%2Ax-2.